Finite Group Databasebeta

← #8346207

Subgroups — #8346207

Order 512.

5168 conjugacy classes of subgroups.

The subgroup lattice has 1563 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59066C212yesmaximal, complemented
2#59002C212yesmaximal, complemented
3#58999C212yesmaximal, complemented
4#58335C212yesmaximal, complemented
5#58319C212yesmaximal, complemented
6#58074C214yesmaximal, complemented
7#55306C214yesmaximal, complemented
8#55044C214yesmaximal, complemented
9#53085C212yesmaximal, complemented
10#52662C212yesmaximal, complemented
11#52244C211yesmaximal, characteristic, complemented
12#50075C214yesmaximal, complemented
13#48358C214yesmaximal, complemented
14#45515C212yesmaximal, complemented
15#45375C212yesmaximal, complemented
16#45068C212yesmaximal, complemented
17#42941C211yesmaximal, characteristic, complemented
18#42883C211yesmaximal, characteristic, complemented
19#42709C212yesmaximal, complemented
20#42683C212yesmaximal, complemented
21#40755C214yesmaximal, complemented
22#40079C212yesmaximal, complemented
23#39865C212yesmaximal, complemented
24#39055C212yesmaximal, complemented
25#37680C212yesmaximal, complemented
26#37455C211yesmaximal, characteristic, complemented
27#36020C211yesmaximal, characteristic, complemented
28#35844C211yesmaximal, characteristic, complemented
29#35633C211yesmaximal, characteristic, complemented
30C2×#559C2211yescharacteristic, complemented
31C2×#550C2212yes—
32C2×#548C2212yes—
33C2×#547C2212yes—
34C2×#547C2212yes—
35C2×#547C2211yescharacteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#532C2212yescomplemented
38C2×#525C2211yescharacteristic
39C2×#525C2212yes—
40C22×C22⋊Q8C2211yescharacteristic
41C2×#520C2211yescharacteristic
42#2857C2212yescomplemented
43#2854C2212yescomplemented
44#2837C2214yes—
45#2837C2214yes—
46#2837C2214yes—
47#2834C2214yescomplemented
48#2833C2212yescomplemented
49#2826C2214yes—
50#2815C2212yes—
51#2813C2214yes—
52#2813C2214yes—
53#2812C2212yes—
54#2812C2212yes—
55#2807C2214yescomplemented
56#2807C2214yescomplemented
57#2807C2214yescomplemented
58#2807C2214yescomplemented
59#2803C2214yes—
60#2801C2214yes—
61#2801C2214yescomplemented
62#2791C2214yescomplemented
63#2787C2212yes—
64#2784C2212yes—
65#2780C2214yescomplemented
66#2779C2214yescomplemented
67#2778C2214yes—
68#2778C2214yes—
69#2778C2214yes—
70#2777C2214yes—
71#2771C2211yescharacteristic
72#2771C2212yes—
73#2771C2214yescomplemented
74#2765C2214yes—
75#2764C2212yes—
76#2760C2211yescharacteristic
77#2757C2214yes—
78#2756C2214yes—
79#2756C2214yescomplemented
80#2753C2214yes—
81#2751C2214yes—
82#2750C2212yes—
83#2750C2212yes—
84#2746C2214yescomplemented
85#2741C2214yes—
86#2739C2214yescomplemented
87#2738C2214yescomplemented
88#2736C2211yescharacteristic
89#2733C2212yescomplemented
90#2730C2214yescomplemented
91#2728C2212yescomplemented
92#2711C2214yes—
93#2710C2214yes—
94#2710C2214yescomplemented
95#2708C2212yes—
96#2707C2214yes—
97#2706C2214yes—
98#2706C2214yescomplemented
99#2697C2212yes—
100#2688C2214yescomplemented
101#2680C2214yes—
102#2678C2214yes—
103#2673C2214yes—
104#2673C2214yes—
105#2672C2214yes—
106#2672C2214yescomplemented
107#2672C2214yescomplemented
108#2671C2214yes—
109#2671C2214yes—
110#2671C2214yes—
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2669C2214yes—
114#2668C2211yescharacteristic
115#2666C2214yescomplemented
116#2658C2212yescomplemented
117#2654C2214yes—
118#2653C2214yescomplemented
119#2645C2212yescomplemented
120#2643C2214yes—
121#2635C2214yes—
122#2635C2214yes—
123#2635C2214yes—
124#2631C2212yes—
125#2630C2214yes—
126#2630C2214yes—
127#2623C2214yescomplemented
128#2621C2211yescharacteristic
129#2620C2212yes—
130#2619C2211yescharacteristic
131#2618C2212yescomplemented
132#2610C2212yescomplemented
133#2600C2212yes—
134#2600C2212yes—
135#2600C2212yes—
136#2600C2214yescomplemented
137#2598C2212yescomplemented
138#2597C2214yescomplemented
139#2594C2214yescomplemented
140#2586C2212yescomplemented
141#2580C2211yescharacteristic, complemented
142#2568C2212yescomplemented
143#2562C2214yes—
144#2562C2214yescomplemented
145#2558C2214yescomplemented
146#2546C2212yescomplemented
147#2546C2211yescharacteristic, complemented
148#2546C2212yescomplemented
149#2544C2212yescomplemented
150#2543C2214yes—
151#2543C2212yes—
152#2542C2212yes—
153#2541C2211yescharacteristic, complemented
154#2540C2212yes—
155#2536C2211yescharacteristic, complemented
156#2534C2212yes—
157#2534C2212yes—
158#2531C2214yes—
159#2522C2214yescomplemented
160#2514C2212yescomplemented
161#2510C2214yescomplemented
162#2506C2212yescomplemented
163#2505C2214yescomplemented
164#2500C2212yes—
165#2499C2212yes—
166#2497C2212yescomplemented
167#2487C2214yescomplemented
168#2486C2212yes—
169#2486C2212yes—
170#2486C2212yes—
171#2464C2214yes—
172#2461C2214yes—
173#2457C2214yes—
174#2456C2214yes—
175#2456C2214yes—
176#2455C2214yes—
177#2455C2214yes—
178#2455C2214yes—
179#2449C2214yes—
180#2449C2214yescomplemented
181#2449C2214yescomplemented
182#2448C2212yescomplemented
183#2448C2212yescomplemented
184#2448C2212yescomplemented
185#2446C2212yescomplemented
186#2445C2214yes—
187#2445C2214yes—
188#2444C2214yes—
189#2443C2214yes—
190#2443C2214yes—
191#2443C2214yes—
192#2443C2214yescomplemented
193#2443C2214yescomplemented
194#2434C2212yes—
195#2432C2212yes—
196#2432C2212yes—
197#2432C2212yes—
198#2432C2212yescomplemented
199#2432C2212yescomplemented
200#2431C2212yes—
201#2431C2212yes—
202#2431C2212yescomplemented
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yescomplemented
208#2428C2214yes—
209#2428C2212yes—
210#2427C2212yes—
211#2427C2212yes—
212#2427C2212yes—
213#2427C2212yescomplemented
214#2425C2214yes—
215#2424C2214yes—
216#2422C2214yescomplemented
217#2421C2212yescomplemented
218#2418C2214yes—
219#2417C2214yes—
220#2417C2212yes—
221#2415C2214yes—
222#2415C2212yes—
223#2415C2212yes—
224#2414C2212yes—
225#2413C2214yescomplemented
226#2407C2212yes—
227#2407C2212yes—
228#2407C2212yescomplemented
229#2401C2212yes—
230#2398C2212yes—
231#2397C2212yes—
232#2396C2211yescharacteristic
233#2392C2211yescharacteristic
234C2×#398C2212yescomplemented
235#2376C2214yescomplemented
236#2366C2212yescomplemented
237#2363C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2361C2212yes—
241#2361C2214yes—
242#2356C2211yescharacteristic, complemented
243#2349C2211yescharacteristic, complemented
244D4×C4⋊C4C2214yes—
245D4×C4⋊C4C2214yescomplemented
246#2339C2212yescomplemented
247#2330C2214yescomplemented
248#2326C2212yescomplemented
249#2325C2214yescomplemented
250#2319C2212yescomplemented
251#2316C2211yescharacteristic
252#2310C2211yescharacteristic
253C4×C22⋊Q8C2212yescomplemented
254C4×#123C2212yes—
255C4×#121C2212yes—
256C4×#120C2212yes—
257#2290C2212yes—
258#2280C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×Q8C2311yescharacteristic
264C24×C4C2311yescharacteristic
265#559—44no—
266#550—48no—
267#548—48no—
268#547—48no—
269#547—44no—
270#547—48no—
271#536—44no—
272#532—48no—
273C2×C4⋊Q8C2312yes—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2312yes—
278C2×#127C2312yes—
279C2×#127C2311yescharacteristic
280C2×#127C2314yes—
281C2×#125C2314yes—
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288#525—44no—
289#525—48no—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2312yes—
297C2×#123C2312yes—
298C2×#123C2314yes—
299C2×#123C2312yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8—44no—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#120C2312yes—
330C2×#120C2314yes—
331C2×#120C2312yes—
332#520—44no—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2314yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2314yes—
368C22×C4⋊C4C2312yes—
369C22×C22⋊C4C2312yes—
370C22×C42C2312yes—
371#401C2314yes—
372#401C2312yes—
373#401C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2311yescharacteristic
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#399C2312yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2311yescharacteristic
400#399C2314yes—
401#399C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2312yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2311yescharacteristic
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2311yescharacteristic
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#396C2314yes—
452#396C2312yes—
453#395C2314yes—
454#395C2311yescharacteristic
455#395C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2311yescharacteristic
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#393C2312yes—
491#393C2311yescharacteristic
492#393C2312yes—
493#393C2312yes—
494#392C2314yes—
495#392C2312yes—
496#392C2312yes—
497#392C2312yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2311yescharacteristic
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#384C2312yes—
670#384C2314yes—
671#383C2312yes—
672#383C2314yes—
673#382C2314yes—
674#382C2311yescharacteristic
675#382C2311yescharacteristic
676#381C2312yes—
677#381C2312yes—
678#381C2314yes—
679#381C2314yes—
680#381C2311yescharacteristic
681#381C2311yescharacteristic
682#381C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2314yes—
687#380C2312yes—
688#380C2314yes—
689#380C2314yes—
690#380C2312yes—
691#380C2314yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#379C2311yescharacteristic
700#379C2312yes—
701#379C2311yescharacteristic
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720#376C2312yes—
721#376C2312yes—
722C2×#95C2314yes—
723C2×#95C2312yes—
724C25C2411yescharacteristic
725C2×#41—24no—
726C2×#41—28no—
727C2×#41—24no—
728C2×#41—42no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C22×Q8—24no—
738C22×Q8—42no—
739C22×Q8—42no—
740C22×Q8C2411yescharacteristic
741C22×Q8C2412yes—
742C22×Q8C2412yes—
743C22×Q8C2412yes—
744C22×Q8C2411yescharacteristic
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2411yescharacteristic
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2411yescharacteristic
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C23×C4—24no—
764C23×C4—42no—
765C23×C4—42no—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2411yescharacteristic
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2412yes—
783C4⋊Q8—44no—
784C4⋊Q8—44no—
785C4⋊Q8—42no—
786C4⋊Q8—44no—
787C4⋊Q8—44no—
788#127—28no—
789#127—42no—
790#127—48no—
791#125—48no—
792#124—28no—
793#124—44no—
794#124—44no—
795#124—44no—
796#124—44no—
797#124—48no—
798#123—48no—
799#123—48no—
800#123—48no—
801#123—44no—
802#123—44no—
803#123—44no—
804#123—48no—
805#123—48no—
806#123—48no—
807#123—48no—
808#123—48no—
809#123—44no—
810C22⋊Q8—28no—
811C22⋊Q8—28no—
812C22⋊Q8—28no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—48no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821#121—28no—
822#121—28no—
823#121—48no—
824#121—44no—
825#121—48no—
826#121—48no—
827#121—48no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—44no—
832#121—44no—
833#121—44no—
834#121—48no—
835#121—48no—
836#120—44no—
837#120—48no—
838#120—44no—
839C4×Q8—24no—
840C4×Q8—42no—
841C4×Q8—42no—
842C4×Q8—44no—
843C4×Q8—44no—
844C4×D4—28no—
845C4×D4—24no—
846C4×D4—28no—
847C4×D4—48no—
848C4×D4—48no—
849C4×D4—42no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—42no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—48no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864#117—42no—
865#117—42no—
866#117—44no—
867#117—44no—
868#117—42no—
869C2×C4⋊C4—24no—
870C2×C4⋊C4—44no—
871C2×C4⋊C4—44no—
872C2×C4⋊C4—48no—
873C2×C4⋊C4—48no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C22⋊C4—44no—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2411yescharacteristic
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2411yescharacteristic
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C42—44no—
991C2×C42C2412yes—
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007#95C2412yes—
1008#95C2411yescharacteristic
1009#95C2414yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2411yescharacteristic
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065C24—22no—
1066C24—41no—
1067C24—42no—
1068C24—41no—
1069C24—42no—
1070C24C2512yes—
1071C24C2512yes—
1072C24C2514yes—
1073C24C2511yescharacteristic
1074C24C2512yes—
1075#41—416no—
1076#41—816no—
1077#41—816no—
1078#41—816no—
1079C2×Q8—22no—
1080C2×Q8—24no—
1081C2×Q8—24no—
1082C2×Q8—24no—
1083C2×Q8—24no—
1084C2×Q8—24no—
1085C2×Q8—22no—
1086C2×Q8—22no—
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—41no—
1090C2×Q8—42no—
1091C2×Q8—42no—
1092C2×Q8—42no—
1093C2×Q8—88no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—28no—
1108C2×D4—24no—
1109C2×D4—42no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—42no—
1115C2×D4—41no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4H(5,𝔽2)14yes—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—24no—
1148C22×C4—22no—
1149C22×C4—28no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—28no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—41no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—44no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—88no—
1193C22×C4H(5,𝔽2)14yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C4⋊C4—24no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—41no—
1233C4⋊C4—42no—
1234C4⋊C4—41no—
1235C4⋊C4—42no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—41no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—41no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4H(5,𝔽2)14yes—
1269C22⋊C4—24no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—24no—
1276C22⋊C4—28no—
1277C22⋊C4—24no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—44no—
1284C22⋊C4—42no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—41no—
1296C22⋊C4—42no—
1297C22⋊C4—41no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C42—24no—
1333C42—24no—
1334C42—22no—
1335C42—24no—
1336C42—22no—
1337C42—24no—
1338C42—24no—
1339C42—28no—
1340C42—42no—
1341C42—42no—
1342C42—44no—
1343C42—42no—
1344C42—44no—
1345C42—42no—
1346C42—44no—
1347C42—44no—
1348C23—22no—
1349C23—21no—
1350C23—21no—
1351C23—22no—
1352C23—22no—
1353C23—24no—
1354C23—24no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—24no—
1360C23—24no—
1361C23—22no—
1362C23—22no—
1363C23—24no—
1364C23—22no—
1365C23—24no—
1366C23—22no—
1367C23—22no—
1368C23—24no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—24no—
1373C23—22no—
1374C23—22no—
1375C23—24no—
1376C23—22no—
1377C23—44no—
1378C23—82no—
1379C23—84no—
1380C23—82no—
1381C23—84no—
1382C23C2×H(5,𝔽2)12yes—
1383C23C2×H(5,𝔽2)14yes—
1384C23C2611yescharacteristic
1385Q8—48no—
1386Q8—44no—
1387Q8—48no—
1388Q8—84no—
1389Q8—82no—
1390D4—28no—
1391D4—416no—
1392D4—48no—
1393D4—416no—
1394D4—48no—
1395D4—84no—
1396D4—88no—
1397D4—88no—
1398D4—84no—
1399D4—88no—
1400D4—82no—
1401D4—84no—
1402D4—84no—
1403D4—88no—
1404D4—88no—
1405D4—88no—
1406D4—162no—
1407D4—164no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—28no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—48no—
1470C2×C4—48no—
1471C2×C4—48no—
1472C2×C4—84no—
1473C2×C4—88no—
1474C2×C4—84no—
1475C2×C4—84no—
1476C2×C4—84no—
1477C2×C4—82no—
1478C2×C4—84no—
1479C2×C4—88no—
1480C2×C4—84no—
1481C2×C4—88no—
1482C2×C4—88no—
1483C2×C4—88no—
1484C2×C4—162no—
1485C2×C4C2×H(5,𝔽2)14yes—
1486C2×C4C2×H(5,𝔽2)12yes—
1487C2×C4C2×H(5,𝔽2)12yes—
1488C2×C4C2×H(5,𝔽2)12yes—
1489C2×C4C2×H(5,𝔽2)12yes—
1490C2×C4#58514yes—
1491C22—22no—
1492C22—24no—
1493C22—28no—
1494C22—24no—
1495C22—41no—
1496C22—42no—
1497C22—42no—
1498C22—41no—
1499C22—42no—
1500C22—44no—
1501C22—42no—
1502C22—42no—
1503C22—44no—
1504C22—44no—
1505C22—42no—
1506C22—42no—
1507C22—44no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—44no—
1513C22—42no—
1514C22—44no—
1515C22—42no—
1516C22—44no—
1517C22—42no—
1518C22—42no—
1519C22—44no—
1520C22—42no—
1521C22—42no—
1522C22—88no—
1523C22C22×H(5,𝔽2)11yescharacteristic
1524C22C22×H(5,𝔽2)11yescharacteristic
1525C22C22×H(5,𝔽2)11yescharacteristic
1526C22C2×#58512yes—
1527C222−1+612yes—
1528C4—22no—
1529C4—24no—
1530C4—24no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—44no—
1535C4—44no—
1536C4—42no—
1537C4—41no—
1538C4—42no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—44no—
1547C4—42no—
1548C4—42no—
1549C4—44no—
1550C4—44no—
1551C4#353714yes—
1552C2—44no—
1553C2—42no—
1554C2—82no—
1555C2—84no—
1556C2—82no—
1557C2C2×#353711yescharacteristic
1558C2#6289812yes—
1559C2#6292512yes—
1560C2#6302111yescharacteristic
1561C2#6304411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59066C2semidirect
2. #59002C2semidirect
3. #58999C2semidirect
4. #58335C2semidirect
5. #58319C2semidirect
6. #58074C2semidirect
7. #55306C2semidirect
8. #55044C2semidirect
9. #53085C2semidirect
10. #52662C2semidirect
11. #52244C2semidirect
12. #50075C2semidirect
13. #48358C2semidirect
14. #45515C2semidirect
15. #45375C2semidirect
16. #45068C2semidirect
17. #42941C2semidirect
18. #42883C2semidirect
19. #42709C2semidirect
20. #42683C2semidirect
21. #40755C2semidirect
22. #40079C2semidirect
23. #39865C2semidirect
24. #39055C2semidirect
25. #37680C2semidirect
26. #37455C2semidirect
27. #36020C2semidirect
28. #35844C2semidirect
29. #35633C2semidirect
30. C2×#559C22semidirect
35. C2×#547C22semidirect
37. C2×#532C22semidirect
42. #2857C22semidirect
43. #2854C22semidirect
47. #2834C22semidirect
48. #2833C22semidirect
55. #2807C22semidirect
56. #2807C22semidirect
57. #2807C22semidirect
58. #2807C22semidirect
61. #2801C22semidirect
62. #2791C22semidirect
65. #2780C22semidirect
66. #2779C22semidirect
73. #2771C22semidirect
79. #2756C22semidirect
84. #2746C22semidirect
86. #2739C22semidirect
87. #2738C22semidirect
89. #2733C22semidirect
90. #2730C22semidirect
91. #2728C22semidirect
94. #2710C22semidirect
98. #2706C22semidirect
100. #2688C22semidirect
106. #2672C22semidirect
107. #2672C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
115. #2666C22semidirect
116. #2658C22semidirect
118. #2653C22semidirect
119. #2645C22semidirect
127. #2623C22semidirect
131. #2618C22semidirect
132. #2610C22semidirect
136. #2600C22semidirect
137. #2598C22semidirect
138. #2597C22semidirect
139. #2594C22semidirect
140. #2586C22semidirect
141. #2580C22semidirect
142. #2568C22semidirect
144. #2562C22semidirect
145. #2558C22semidirect
146. #2546C22semidirect
147. #2546C22semidirect
148. #2546C22semidirect
149. #2544C22semidirect
153. #2541C22semidirect
155. #2536C22semidirect
159. #2522C22semidirect
160. #2514C22semidirect
161. #2510C22semidirect
162. #2506C22semidirect
163. #2505C22semidirect
166. #2497C22semidirect
167. #2487C22semidirect
180. #2449C22semidirect
181. #2449C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
184. #2448C22semidirect
185. #2446C22semidirect
192. #2443C22semidirect
193. #2443C22semidirect
198. #2432C22semidirect
199. #2432C22semidirect
202. #2431C22semidirect
207. #2429C22semidirect
213. #2427C22semidirect
216. #2422C22semidirect
217. #2421C22semidirect
225. #2413C22semidirect
228. #2407C22semidirect
234. C2×#398C22semidirect
235. #2376C22semidirect
236. #2366C22semidirect
242. #2356C22semidirect
243. #2349C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2339C22semidirect
247. #2330C22semidirect
248. #2326C22semidirect
249. #2325C22semidirect
250. #2319C22semidirect
253. C4×C22⋊Q8C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#590662
#590022
#589992
#583352
#583192
#580742
#553062
#550442
#530852
#526622
#522442
#500752
#483582
#455152
#453752
#450682
#429412
#428832
#427092
#426832
#407552
#400792
#398652
#390552
#376802
#374552
#360202
#358442
#356332